11th Standard Syllabus & Materials

11th Standard

TN 11th Tamil இயற்கை வேளாண்மை,சுற்றுச்சூழல் -செய்யுள் - மனோன்மணீயம் Important Questions And Answers Study Material - QB365 Set A

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11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Two

Published on: 11/11/2020

Download Tamil Nadu 11th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.

Questions + Answers key

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Std: 11th Standard - Maths

chapter: - Model Question paper

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Questions:

Multiple Choice Question

10 x 1 = 10

The value of log 1 is

(a)

(b)

(c)

\(\infty\)

(d)

-1

A matrix is chosen at random from a set of all matrices of order 2, with elements 0 or 1 only. The probability that the determinant of the matrix chosen is non zero will be

(a)

\({3\over 16}\)

(b)

\({3\over 8}\)

(c)

\({1\over 4}\)

(d)

\({5\over 8}\)

If \(\overrightarrow{a}\) and \(\overrightarrow{b}\) are two vectors of magnitude 2 and inclined at an angle 60°, then the angle between \(\overrightarrow{a}\) and \(\overrightarrow{a}+\overrightarrow{b}\) is

(a)

30°

(b)

60°

(c)

45°

(d)

90°

\(\frac{1}{360}\) of a complete rotation clockwise is _______________

(a)

-1°

(b)

-360°

(c)

-90°

(d)

1°

With usual notation C₀ + C₂ + C₄+ ... is ______________

(a)

2^n-1

(b)

2ⁿ

(c)

2ⁿ⁺¹

(d)

2ⁿ⁺²

Solve 3x² + 5x - 2≤0

(a)

(2,\(\frac{1}{3}\))

(b)

[2,\(\frac{1}{3}\)]

(c)

(-2,\(\frac{1}{3}\))

(d)

(-2,\(\frac{-1}{3}\))

There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two of them is _________

(a)

(b)

(c)

(d)

\(\sqrt [ 4 ]{ 11 } \) is equal to ___________

(a)

\(\sqrt [ 8 ]{ 11^{ 2 } } \)

(b)

\(\sqrt [ 8 ]{ 11^{ 4 } } \)

(c)

\(\sqrt [ 8 ]{ 11^{ 8 } } \)

(d)

\(\sqrt [ 8 ]{ 11^{ 6 } } \)

If cos x = \(\frac { -1 }{ 2 } \) \(0 < x < 2\pi\) and, then the solutions are _______________

(a)

x = \(\frac { \pi }{ 3 } ,\frac { 4\pi }{ 3 } \)

(b)

x = \(\frac { 2\pi }{ 3 } ,\frac { 4\pi }{ 3 } \)

(c)

x = \(\frac { 2\pi }{ 3 } ,\frac { 7\pi }{ 6 } \)

(d)

x = \(\frac { 2\pi }{ 3 } ,\frac { 5\pi }{ 3 } \)

10.

The function f:[0,2π]➝[-1,1] defined by f(x) = sin x is

(a)

one-to-one

(b)

on to

(c)

bijection

(d)

cannot be defined

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Answers Key:

Multiple Choice Question

10 x 1 = 10

(b)
0

\(n(S) =2^{14}=16 \)
\(A =\left\{\begin{array}{ll} 1 & 0 \\ 0 & 1 \end{array}|,| \begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}|,| \begin{array}{ll} 1 & 1 \\ 0 & 1 \end{array}|,| \begin{array}{ll} 1 & 0 \\ 1 & 1 \end{array}|,| \begin{array}{ll} 0 & 1 \\ 1 & 1 \end{array}|,| \begin{array}{ll} 1 & 1 \\ 1 & 0 \end{array} \mid\right\} \)
\(n(A) =6 \)
\(P(A) =\frac{6}{16}=\frac{3}{8} \)

\(A B=B C=2 \text { (ie) } \vec{a}=\vec{b}=2\)
\(\therefore A B C \text { is isosceles triangle }\)
\(\therefore \angle A+\angle B =180^{\circ}-120^{\circ} \)
\(2 \angle A =60^{\circ} \)
\(\angle A =30^{\circ} \)